{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.5.2\n"
     ]
    }
   ],
   "source": [
    "import paddle \n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "print(paddle.__version__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x20ce180b828>]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_points=np.linspace(0,60,600)\n",
    "dataset=np.sin(data_points)\n",
    "plt.plot(dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(5, 100, 1)\n",
      "(5, 100, 1)\n"
     ]
    }
   ],
   "source": [
    "time_steps=100\n",
    "input_size=1\n",
    "dataX,dataY=[],[]\n",
    "for i in range(500):\n",
    "    x=dataset[i]\n",
    "    y=dataset[i+1]\n",
    "    dataX.append(x)\n",
    "    dataY.append(y)\n",
    "dataX,dataY=np.array(dataX),np.array(dataY)\n",
    "dataX=np.reshape(dataX,(-1,time_steps,input_size))\n",
    "dataY=np.reshape(dataY,(-1,time_steps,input_size))\n",
    "print(dataX.shape)\n",
    "print(dataY.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataX=paddle.to_tensor(dataX,dtype='float32')\n",
    "dataY=paddle.to_tensor(dataY,dtype='float32')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "class rnn(paddle.nn.Layer):\n",
    "    def __init__(self):\n",
    "        super(rnn,self).__init__()\n",
    "        self.rnn=paddle.nn.SimpleRNN(1,128,2,activation='relu')\n",
    "        self.fc=paddle.nn.Linear(in_features=128,out_features=1)\n",
    "    def forward(self,x):\n",
    "        x,h=self.rnn(x)\n",
    "        x=self.fc(x)\n",
    "        return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x20ce16cb5f8>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model=rnn()\n",
    "out=model(dataX)\n",
    "data=np.reshape(out,(-1,))\n",
    "plt.plot(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_iterations=600\n",
    "learning_rate=0.0001\n",
    "model=rnn()\n",
    "opt=paddle.optimizer.Adam(learning_rate=learning_rate,parameters=model.parameters())\n",
    "mse_loss=paddle.nn.MSELoss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "99 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.02766760)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "199 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00387462)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "299 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00236776)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "399 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00162195)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "499 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00104414)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "599 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00061582)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for iteration in range(n_iterations):\n",
    "    X_batch,Y_batch=dataX,dataY\n",
    "    out=model(X_batch)\n",
    "    avg_loss=mse_loss(out,Y_batch)\n",
    "    avg_loss.backward()\n",
    "    opt.step()\n",
    "    opt.clear_grad()\n",
    "    if(iteration+1)%100==0:\n",
    "        print(iteration,'\\tMSE',avg_loss)\n",
    "        prediction=np.reshape(out,(-1,))\n",
    "        plt.plot(prediction)\n",
    "        plt.title('After{}training,fitting result'.format(iteration))\n",
    "        plt.show()\n",
    "        num_batches=X_batch.shape[0]\n",
    "        sequence=X_batch[num_batches-1,:,0].numpy().tolist()\n",
    "        prediction_iter=100\n",
    "        for iteration in range(prediction_iter):\n",
    "            x_batch=np.array(sequence[-time_steps:]).reshape(1,time_steps,1)\n",
    "            x_batch=paddle.to_tensor(x_batch,dtype='float32')\n",
    "            y_pred=model(x_batch)\n",
    "            sequence.append(y_pred.numpy()[0,-1,0])\n",
    "        plt.plot(sequence[-prediction_iter:])\n",
    "        plt.title('predicion'.format(iteration))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "paddle.save(model.state_dict(),'rnn.pdparams')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model=rnn()\n",
    "params_file_path='rnn.pdparams'\n",
    "param_dict=paddle.load(params_file_path)\n",
    "model.load_dict(param_dict)\n",
    "num_catches=dataX.shape[0]\n",
    "sequence=dataX[num_batches-1,:,0].numpy().tolist()\n",
    "prediction_iter=500\n",
    "for iteration in range(prediction_iter):\n",
    "    x_batch=np.array(sequence[-time_steps:]).reshape(1,time_steps,1)\n",
    "    x_batch=paddle.to_tensor(x_batch,dtype='float32')\n",
    "    y_pred=model(x_batch)\n",
    "    sequence.append(y_pred.numpy()[0,-1,0])\n",
    "plt.plot(sequence[-prediction_iter:])\n",
    "plt.title('yucejieguo'.format(iteration))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
